Axially Symmetric, Asymptotically Flat Vacuum Metric with a Naked Singularity and Closed Timelike Curves

Sarma, Debojit; Ahmed, Faizuddin; Patgiri, Mahadev

doi:10.1155/2016/2546186

Cited by 20 publications

(27 citation statements)

References 32 publications

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“…To establish the stability of these orbits (24), one can calculate the largest invariant Lyapunov exponent, a measure of stability of these curves which we discussed in [11,13,14]. In our case here, we find the Lyapunov exponent defined by…”

Section: Stability Of Closed Timelike Curvesmentioning

confidence: 99%

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A Type D Non-Vacuum Spacetime with Causality Violating Curves, and Its Physical Interpretation

Ahmed¹

2017

Commun. Theor. Phys.

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We present a topologically trivial, non-vacuum solution of the Einstein's field equations in four-dimensions, which is regular everywhere. The metric admits circular closed timelike curves, which appear beyond the null curve, and these timelike curves are linearly stable under linear perturbations. Additionally, the spacetime admits null geodesics curve which are not closed, and the metric is of type D in the Petrov classification scheme. The stress-energy tensor anisotropic fluid satisfy the different energy conditions and a generalization of Equation-of-State parameter of perfect fluid p = ω ρ. The metric admits a twisting, shearfree, non-exapnding timelike geodesic congruence. Finally, the physical interpretation of this solution, based on the study of the equation of the geodesics deviation, will be presented.

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Section: Stability Of Closed Timelike Curvesmentioning

confidence: 99%

“…In addition, some other CTC spacetimes possesses a naked singularity (e.g. [24,25,26,27]. Hawking proposed a Chronology Protection Conjecture [28] which states that the laws of physics will always prevent a spacetime to form CTCs.…”

Section: Introductionmentioning

confidence: 99%

A Type D Non-Vacuum Spacetime with Causality Violating Curves, and Its Physical Interpretation

Ahmed¹

2017

Commun. Theor. Phys.

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“…Nakao and Morisawa [14,15] introduced a an isotropic scheme and investigated cylindrical collapse for dust and perfect fluid, respectively. Cylindrical symmetric gravitational collapse of counter rotating dust shells can be found in the [16,17], axially symmetric vacuum solution [18], and cylindrical symmetric collapse in anisotropic in [7]. An axially symmetric null dust gravitational collapse has been discussed in [19].…”

Section: Introductionmentioning

confidence: 95%

High Speed Cylindrical Gravitational Collapse with Anisotropic Pressure

2018

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This paper focuses on the cylindrical symmetric gravitational collapse in the presence of anisotropic fluid. The high speed approximation scheme was used. In this perspective, the effect of anisotropy of pressure in fluid distribution on the collapsing process with the Equation of State (EoS) p t = λρ and p r = lρ, (l + 2λ < −1). The effect of pressure on collapse in radial and tangential direction was observed for all values of λ and l. It is determined that, for some values of constants, i.e., λ and l, collapse results in a Naked Singularity (NS) while, for some values of constants, it does not form NS or Black Hole (BH). This study presents the effect on the collapsing process for all values of λ and l.

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“…[11,12]). In addition, there is a curvature singularity in some solutions admitting CTCs [3,35,[48][49][50][51][52][53].…”

Section: Introductionmentioning

confidence: 99%

Axial Symmetry Cosmological Constant Vacuum Solution of Field Equations with a Curvature Singularity, Closed Time-Like Curves, and Deviation of Geodesics

Ahmed

Hazarika

Sarma

2020

Advances in High Energy Physics

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In this paper, we present a type D, nonvanishing cosmological constant, vacuum solution of Einstein’s field equations, extension of an axially symmetric, asymptotically flat vacuum metric with a curvature singularity. The space-time admits closed time-like curves (CTCs) that appear after a certain instant of time from an initial space-like hypersurface, indicating it represents a time-machine space-time. We wish to discuss the physical properties and show that this solution can be interpreted as gravitational waves of Coulomb-type propagate on anti-de Sitter space backgrounds. Our treatment focuses on the analysis of the equation of geodesic deviations.

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Axially Symmetric, Asymptotically Flat Vacuum Metric with a Naked Singularity and Closed Timelike Curves

Cited by 20 publications

References 32 publications

A Type D Non-Vacuum Spacetime with Causality Violating Curves, and Its Physical Interpretation

A Type D Non-Vacuum Spacetime with Causality Violating Curves, and Its Physical Interpretation

High Speed Cylindrical Gravitational Collapse with Anisotropic Pressure

Axial Symmetry Cosmological Constant Vacuum Solution of Field Equations with a Curvature Singularity, Closed Time-Like Curves, and Deviation of Geodesics

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